What is the Least Common Multiple of 50797 and 50802?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 50797 and 50802 is 2580589194.
LCM(50797,50802) = 2580589194
Least Common Multiple of 50797 and 50802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50797 and 50802, than apply into the LCM equation.
GCF(50797,50802) = 1
LCM(50797,50802) = ( 50797 × 50802) / 1
LCM(50797,50802) = 2580589194 / 1
LCM(50797,50802) = 2580589194
Least Common Multiple (LCM) of 50797 and 50802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50797 and 50802. First we will calculate the prime factors of 50797 and 50802.
Prime Factorization of 50797
Prime factors of 50797 are 79, 643. Prime factorization of 50797 in exponential form is:
50797 = 791 × 6431
Prime Factorization of 50802
Prime factors of 50802 are 2, 3, 8467. Prime factorization of 50802 in exponential form is:
50802 = 21 × 31 × 84671
Now multiplying the highest exponent prime factors to calculate the LCM of 50797 and 50802.
LCM(50797,50802) = 791 × 6431 × 21 × 31 × 84671
LCM(50797,50802) = 2580589194
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